Question

Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.

Lengths (mm) Frequency
140 - 143 1
144 - 147 16
148 - 151 71
152 - 155 108
156 - 159 83
160 - 163 18
164 - 167 3

What is the class boundary between the sixth and seventh classes?

Answer 1

Class Boundary = 1 between the sixth and seventh classes.

Explanation:

Lengths (mm) Frequency

1. 140 - 143 1

2. 144 - 147 16

3. 148 - 151 71

4. 152 - 155 108

5. 156 - 159 83

6. 160 - 163 18

7. 164 - 167 3

The class boundary between two classes is the numerical value between the starting value of the higher class, which is 164 for the 7th class in this case, and the ending value of the class of the lower class, which is 163 for the 6th class in this case.

Therefore the class boundary between the sixth and seventh classes

= 164 - 163 = 1

Therefore Class Boundary = 1.

It can be seen that class boundary for the frequency distribution is 1.

If we take the difference between the lower limits of one class and the lower limit of the next class then we will get the class width value.

Therefore, Class width,

w = lower limit of second class - lower limit of first class

= 144 - 140

= 4